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Finding the Fourth Proportional to 12,455.64, 18,683.87 and 3,689.82

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Solution

The fourth proportional to 12,455.64, 18,683.87 and 3,689.82 is: 5,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.64 : 18,683.87 = 3,689.82 : x
  2. Step 2: Convert to fraction form
    12,455.64/18,683.87 = 3,689.82/x
  3. Step 3: Cross multiply
    12,455.64x = 18,683.87 × 3,689.82
  4. Step 4: Simplify right side
    12,455.64x = 68,940,098.75
  5. Step 5: Solve for x
    x = 68,940,098.75/12,455.64
  6. Step 6: Final answer
    x = 5,534.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.